Vertex-transitive non-Cayley graphs with arbitrarily large vertex-stabilizer

DOI10.1023/A:1008687226819zbMath0918.05059MaRDI QIDQ1272909

Marston D. E. Conder, Cameron G. Walker

Publication date: 10 August 1999

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

zbMATH Keywords

vertex-transitive graphvertex-stabilizernon-Cayley graph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items

Tetravalent edge-transitive graphs of girth at most 4 ⋮ On the Cayleyness of Praeger-Xu graphs ⋮ Finite edge-transitive oriented graphs of valency four: a global approach ⋮ Bounding the order of the vertex-stabiliser in 3-valent vertex-transitive and 4-valent arc-transitive graphs ⋮ A characterisation on arc-transitive graphs of prime valency ⋮ On cubic non-Cayley vertex-transitive graphs ⋮ Explicit definition of the binary reflected Gray codes ⋮ Tetravalent edge-transitive Cayley graphs with odd number of vertices

Uses Software

• Magma

Cites Work

• A characterization of a class of symmetric graphs of twice prime valency
• Automorphism groups of symmetric graphs of valency 3
• The trivalent symmetric graphs of girth at most six
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